In addition to what Dennis said, I am assuming the drivers you downloaded are from
here. These drivers were not written to work with the serial interface. In fact, they all say "GPIB". Since you have a serial connection you will need to modify the Initialize function to work with serial. VISA will work with either serial or GPIB, but if you're using serial you need to configure the serial port settings, and you need to use the proper VISA resource string. The resource string will be something like "ASRL1::INSTR".
The important thing is that you need to configure the serial port. Your best bet is to download a driver for a different instrument that either does both serial and GPIB and simply modify the Initialize function for the TDS350 in the same way, or download a driver that does serial only and modify the Initialize function in the same way. The driver for the
TDS 210 is one that does both GPIB and serial, while the one for the
720 is one that does serial only.